Not working in Nuxt v4.4.8

### 🐛 The bug

I am trying to use this module using the example provided in the documentation but keep getting this error
`hi is not defined`

Am i doing something wrong? [Here](https://github.com/jeky1950/nuxt-workers-module-error-reproduction.git) is my reproduction repo.

### 🛠️ To reproduce

https://github.com/jeky1950/nuxt-workers-module-error-reproduction.git

### 🌈 Expected behaviour

I expected the web worker example in the documentation to work in Nuxt v4.4.8.

### ℹ️ Additional context

_No response_

Start by running the linked nuxt-workers-module-error-reproduction repository and compare it with the web worker example in the documentation. Trace the source of the “hi is not defined” error in Nuxt v4.4.8; done means the documented example works without that error.

Written by the indexing model from the issue text.